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Finding the Fourth Proportional to 427,476.75, 590,153.36 and 320,008.11

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Solution

The fourth proportional to 427,476.75, 590,153.36 and 320,008.11 is: 441,787.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,476.75 : 590,153.36 = 320,008.11 : x
  2. Step 2: Convert to fraction form
    427,476.75/590,153.36 = 320,008.11/x
  3. Step 3: Cross multiply
    427,476.75x = 590,153.36 × 320,008.11
  4. Step 4: Simplify right side
    427,476.75x = 188,853,859,743.71
  5. Step 5: Solve for x
    x = 188,853,859,743.71/427,476.75
  6. Step 6: Final answer
    x = 441,787.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.